Place a 9x5-inch loaf pan in the freezer to chill.
To the bowl of a stand mixer, add the heavy cream. Start mixing at the lowest speed, and then gradually increase speed to medium until the cream starts to get thicker. (The gradual progression prevents you from spraying yourself with cream.)
The cream will thicken and start to peak. Mix on high speed until the cream is thick and stiff. This happens quickly, so watch it closely!
In a medium bowl, combine sweetened condensed milk, vanilla, salt, and 1 cup of whipped cream.
Gently fold the sweetened condensed milk mixture back into the mixing bowl with the rest of the whipped cream.
Gently fold in cookie dough pieces and mini chocolate chips, reserving some of each for the topping.
Pour the mixture into the chilled pan. Top with the reserved cookie dough and chocolate chips, and freeze for at least 5 hours, or until fully set up, before serving.